An optimized two-step hybrid block method for solving general second order initial-value problems

DOI10.1007/s11075-015-0081-8zbMath1347.65121OpenAlexW2267026097MaRDI QIDQ306373

F. Blanchet-Sadri, M. Dambrine

Publication date: 31 August 2016

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-015-0081-8

zbMATH Keywords

stabilitynumerical experimentsgeneral second-order initial-value problemhybrid block methodintra-step nodal pointslocal truncation errorsoptimization criterium

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70)

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